Course Information

Course Name	Turkish	Kompleks Analiz
	English	Complex Analysis
Course Code	MAT 345E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	3	-	-
Course Language		English
Course Coordinator		Aybike Özer Aybike Özer
Course Objectives		Students completing this course will be able to 1. Work with Complex numbers. 2. Be familiar with complex analytic functions and their properties. 3. Understand the similarities and differences between the real and complex elementary functions. 4. Set up and directly evaluate contour integrals or evaluate contour integrals using the Cauchy Integral theorem. 5. Find Taylor or Laurent Series for simple functions. Show understanding of the convergence regions for each type of series. 6. Identify and classify zeros and singular points of functions. Compute residues. Use residues to evaluate various contour integrals. 7. Evaluate improper integrals and definite integrals involving sines and cosines.
Course Description		Complex numbers, analytic and harmonic functions, elementary functions, contour integrals, Cauchy theorem, Cauchy integral formula. Taylor series. Singular and isolated singular points. Laurent series. Residue theorem. Application of Residue theorem to calculation of integrals. Maximum modulus principle.
Course Outcomes		aa
Pre-requisite(s)		Mat213 MIN DD/ Mat213E MIN DD/ Mat102 MIN DD /Mat102E MIN DD / Mat104 MIN DD/Mat104E MIN DD
Required Facilities		none
Other
Textbook		Complex Variables and Applications, 8th Edition / James Ward Brown and Ruel V. Churchill, McGraw-Hill Companies
Other References		Fundamentals of Complex Analysis with Applications to Engineering and Science, 3th Edition / E. B. Saff and A. D. Snider, Pearson Education, 2003

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